Set Differential Equations and Flow Invariance
- 1 April 2003
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 82 (4), 357-368
- https://doi.org/10.1080/0003681031000101529
Abstract
The study of Set Differential Equations is initiated in the metric space of nonempty, compact, convex subsets of , endowed with the Hausdorff metric. The existence of a generalized solution for the associated initial value problems is proved when the function involved does not satisfy any continuity assumptions. Utilizing the ideas of nonsmooth analysis, a proximal aiming condition is employed to investigate the weak and strong invariance for these solutions.Keywords
This publication has 2 references indexed in Scilit:
- Theory of Fuzzy Differential Equations and InclusionsPublished by Taylor & Francis ,2004
- Differential Inclusions in a Banach SpacePublished by Springer Nature ,2000